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Department of Physics and Astronomy Quantum Chaos Research

Undergraduate Projects

Classical Chaotic Dynamis in Bumpy Stadium Billiards

by Adam Meier [Paper (1.3 MB)]

Summary: Stadium billiards is a model frequently used in the study of essential properties of chaotic systems. Many dynamical properties can be analyzed relatively explicitly inthe stadium to aid in understanding of more complicated systems such as quantumdots. In order to broaden its applicability, the model is adapted to include the presence of quasi-random time-independent perturbations, equivalent to bumpiness on the bottom of the stadium. The investigation of the adapted Poincare sections and orbit mechanics reveals the high sensitivity of these properties to perturbations and indicates the importance of adapting the stadium in this way for modeling purposes.